Question

Simplify using the order of operations: (3-6)²+(-12)-:(-3)(-2)

Answer 1

Using the order of operations (PEMDAS/BODMAS), the mathematical expression (3-6)²+(-12)-:(-3)(-2) simplifies to 3.

Step-by-step explanation:

The question requires you to simplify the mathematical expression using the order of operations, also known as PEMDAS/BODMAS. This stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Now let's simplify the expression step by step:

1. Start with the parentheses: (3-6)²+(-12)-:(-3)(-2). The subtraction inside the parentheses results in -3, so it simplifies to (-3)²+(-12)-:(-3)(-2).
2. Next, look after the exponent: (-3)² gives 9, so the expression becomes 9+(-12)-(-6) (Remember: negative times negative gives a positive).
3. Perform the addition and subtraction from left to right: 9-12+6 results in 3.

Therefore, the expression (3-6)²+(-12)-:(-3)(-2) simplifies to 3.

Learn more about Order of Operations